Which of the following ordered pairs is a possible solution to the equation y = 3x - 2?
Answers
Answer:
D) (1,1)
Step-by-step explanation:
You can find the solution by plugging the x-value of each coordinate into the equation. It will be a solution if the y-value of the equation equals the y-value of the coordinate.
For example:
y = 3x -2
y = 3(1) - 2
y = 3-2
y = 1
1 = 1
(1, 1) are the coordinates that are on the given line.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given a equation y = 3x -2
To find which coordinates will satisfy the equation:
For coordinates (2, 0)
at x = 2, y should be zero
y = 3 * 2 -2
y = 4
Not satisfied
For coordinates(-3, 0)
at x = -3, y should be 0
y = 3 * -3 - 2
y = -9 -2
y = -11
Not satisfied
For coordinates(0, 2 )
at x = 0, y should be 2
y = 3*0 -2
y = -2
Not satisfied
For coordinates(1, 1)
at x = 1, y should be 1
Y = 3*1 - 2
y = 3 - 2
y = 1
satisfied
Therefore, (1, 1) are the coordinates that are on the given line.
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Related Questions
A young couple purchases their first new home in 2011 for $95,000. They sell it to move into a bigger home in 2018 for $105,000. First, we will develop an exponential model for the value of the home. The model will have the form
Answers
Given:
The value of home in 2011 is $95,000.
The value of home in 2018 is $105,000.
To find:
The exponential model for the value of the home.
Solution:
The general exponential model is
[tex]y=ab^x[/tex] ...(i)
where, a is initial value and b is growth factor.
Let 2011 is initial year and x be the number of years after 2011.
So, initial value of home is 95,000, i.e., a=95,000.
Put a=95000 in (i).
[tex]y=95000b^x[/tex] ...(ii)
The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.
[tex]105000=95000b^7[/tex]
[tex]\dfrac{105000}{95000}=b^7[/tex]
[tex]\dfrac{21}{19}=b^7[/tex]
Taking 7th root on both sides, we get
[tex]\left(\dfrac{21}{19}\right)^{\frac{1}{7}}=b[/tex]
Put [tex]b=\left(\dfrac{21}{19}\right)^{\frac{1}{7}}[/tex] in (ii).
[tex]y=95000\left(\left(\dfrac{21}{19}\right)^{\frac{1}{7}}\right)^x[/tex]
[tex]y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}[/tex]
Therefore, the required exponential model for the value of home is [tex]y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}[/tex], where x is the number of years after 2011.
Help me please ddddd
Answers
Answer:
ok what do you need help[on
Step-by-step explanation:
Answer:
a) Yes, 23/51 people in the neighborhood drive a van, with 23 being the highest owned number for any car type.
b) People in my neighborhood drive sports cars the least.
SUV is the second most driven car in my neighborhood.
c) The number of people that dress up for spirit week per gender in each grade.
can somebody help me with this please.
Answers
I don't know what number 1 and number 2 mean,
3：11
4
5：-3
6：-8
You can find the answer below. Among the questions I answered correctly, I hope to adopt it at the end. Thank you. Have a nice day.
What is the slope of the line through (3,7) and (-1,4)
Answers
Answer:
[tex]m=\frac{3}{4}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 7)
Point (-1, 4)
Step 2: Solve for slope m
Substitute: [tex]m=\frac{4-7}{-1-3}[/tex]Subtract: [tex]m=\frac{-3}{-4}[/tex]Simplify: [tex]m=\frac{3}{4}[/tex]Answer:
4/3
Step-by-step explanation:
Use the formula rise/run. But first, if you plot this on a graph, (-1,4) will come first because its x value is smaller. So, for this, let's look at (-1,4) first.
To get from -1 to 3, you must rise 4 units. To get from 4 to 7, you must run 3 units.
So, if you put this together, you will get 4/3!
Hope I helped!!!!
someone please explain
Answers
Explain what? What would you like help with? :)
Answer:
whats ur question
Step-by-step explanation:
In a company, 95% of the workers are men. If 125 people work for the company who aren't men , how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
ill give you brainliesttttt
Answers
Based on the percentage of men workers in the company, the total number of workers is 2,500.
What is the percentage?The percentage is the fractional value of a variable concerning another.
Percentages are like ratios and proportions, which show the numerical relationship between the independent and dependent variables.
The percentage of men workers = 95%
The number of non-men workers = 125
The percentage of non-men workers = 5% (1 - 95%)
If 5% of the workers are 125, the total number of workers, 100% = 2,500 (125/5% x 100%).
Check:
Men workers = 95% = 2,375
Non-men workers = 5% = 125
Total = 2,500
Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.
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The total number of workers in the company is 2,500.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
In a company, 95% of the workers are men.
125 people work for the company who aren't men.
We need to find number of workers working in the company.
The percentage of men workers = 95%
The number of non-men workers = 125
The percentage of non-men workers = 5% (1 - 95%)
Men workers = 95% = 2,375
Non-men workers = 5% = 125
If 5% of the workers are 125
the total number of workers, 100% = 2,500 (125/5% x 100%).
Total = 2,500
Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.
Hence the total number of workers in the company is 2,500.
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If you cut 10 ounces of butter into 2/5 ounce pieces, how many 2/5 ounces of butter will you have?
Answers
Answer:
what are the answer choices
Step-by-step explanation:
HELP NEED ANSWER IN 6 MINS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answers
Answer:
The first one is yes, and the second is
Step-by-step explanation:
10/1 so actual distance changes by 10 every one inch on the map and the map distance by 1 every ten miles in actual distance
In a proportional relationship when x=9 we know that y=15. Which of the following is the value of y when x=24?
(1) 30 (3) 48 (2) 40 (4) 54
Answers
Answer:
y=40
Step-by-step explanation:
x y
9 15
24 y
9/24=15/y
24*15=9y
360=9y
40=y
Therefore, 40 is correct.
If x and y are proportional, when x=24 we get y=40. Therefore, option (3) is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, in a proportional relationship when x=9 we know that y=15.
If x is directly varies to y we get
x∝y
x=ky
Now, 9=15k
k=9/15
k=3/5
So, equation is x=3/5y
When x=24, we get
24=3/5y
24×5=3y
y=40
Therefore, option (3) is the correct answer.
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Fedex typically deleviers 2,400 packages per day and uses 75 trucks for delivery. If the number of trucks used per day is proportional to the number of packages delivered, how many packages would be delivered if there are 100 trucks avilable?
A 3.200 packages
B 1.800 packages
Answers
Answer:
A
Step-by-step explanation:
What is the slope and y-intercept of the
graph shown below?
Answers
Answer:
m=1.5 b=4
Step-by-step explanation:
WUTS THE ANSWER IM SO LOST I NEED HELP!!! :(
Answers
1/6 = 0.16 acres in 8 minutes.
--
0.16 ÷ 8 = 0.02 acres mowed in 1 minute.
--
(60 minutes in an hour)
0.02 x 60 = 1.2 acres mowed in an hour.
--
1.2 is equal to 1 1/5, and jami needs to mow 1 1/2 acres. so no, jami cannot mow 1 1/2 acres in an hour.
According to the table, during which interval did the average time spent on hold increase?
O week 1 to week 3
O week 1 to week 4
O week 4 to week 6
week 3 to week 5
Answers
Answer:
d
Step-by-step explanation:
took the quiz
What is the answer to this equation? -(x-10)=7
Answers
Answer:
x=3
Step-by-step explanation:
-(x-10)=7
-x+10=7
-x=-3
x=3
-(3-10)=7
In AOPQ, OQ is extended through point Q to point R, m PQR = (4x -- 10),
mZOPQ = (x +9)", and mZQOP = (x - 5)°. Find mZPQR.
Answers
Answer:
114
Step-by-step explanation:
X + 9 + 4x - 10 + x - 5 = 180
6x - 6 = 180
6x = 186
X = 31
4(31) - 10 = 114
PLS HELP ME ASAPP!!! :((
Which situation represents a proportional relationship?
A. The cost of purchasing grapefruit for $ 1.80 per pound with a coupon for $ 1.00 off the total cost
B. The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket
C. The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound
D. The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00
Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Ratio and Proportion.
C.) The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound.
is the Correct answer.
Option C.)
Answer:
D.) The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
14) Which equation represents the line that passes through the point (4,1) and (20,-3)?
A) X-4y = 2
B) x + y = 2
C) 2x + 8y = 16
D) 2x + 4y = 4
Answers
Answer:
All of the options are in standard form (ax+by=c). But none of the answers is an option. The correct answer is x+4y=8.
Step-by-step explanation:
The following screenshot is a graphing website to prove that the equation x+4y=8 passes through the points (4,1) and (20,-3).
I don’t know if the equation x+4y=8 is an option for you, because I don’t see it as an option to choose out of the four.
But I hope this helps and answers your question :)
Avery owns a small business selling ice-cream. She knows that in the last week 6
customers paid cash, 48 customers used a debit card, and 16 customers used a credit
card.
If next week, she is expecting 400 customers, about how many would you expect to
pay with a credit card? Round your answer to the nearest whole number.
Answers
Answer:
About 91 customers would be expected to pay with a credit card.
Step-by-step explanation:
Well you have ro set up a ratio of 16/70 = x/400
This way the amount of people that used a credit card out of all of the people that came and you can figure out the amount of people that will use a credit card out of the 400 people that are expected tho come. You multiply like a butterfly. 70 times x and 400 by 16. Then you will get 6,400=70x divide both sides by 70 and get 91.42=x so if ypu round, 91 people are expected to pay using a credit card out of the 400 customers that are expected to come.
HELP ME PLZZ SOMEONE DONT JUST ANSWER RANOMELLY I REALLY NEED HELP !!!!
Frankenstein is definitely a classic and he can still manage to get a few scares, but the also classic Werewolf has seen better days. The Werewolf is often the target of scares and has an equation perpendicular to Frankenstein's. Frankenstein's equation is`y=x+5` and the Werewolf's equation passes through the point `\left(-1,-2\right).` What is the Werewolf's equation?
Answers
Answer:
y = - x - 3Step-by-step explanation:
Given
Equation y = x + 5Perpendicular line that passes through the point (-1, -2)Perpendicular line has negative reciprocal slope, so the slope is -1
The line in slope-intercept form is:
y = -x + bUsing the given point, finding the y-intercept:
-2 = -(-1) + b-2 = 1 + bb = -2 - 1b = -3So the Werewolf's equation is:
y = - x - 3can you help pls jhgyihjopk[[knbh
Answers
Answer:
The lower right table
Step-by-step explanation:
The table of that's the right answer consists of f(x) and x points that when plugged into the equation make the equation equal.
Let's go through each of the tables to check.
Upper Left Table:
(Remember that f(x) and y are interchangeable)
- Let's plug in the first paired set (0,6) into the equation
[tex]y = -2x + 6 \\6 = -2(0) + 6\\6 = 6[/tex]
So, this one seems right so far. It also let's us eliminate some answers!
The upper right and lower left tables can't be right because in order for the equation to be equal, f(x) has to be 6 when x equals 0
Let's plug more paired sets into the equation from the upper left table
[tex]y = -2x + 6\\10 = -2(2) + 6 \\10 = -4 + 6 \\10 = 2[/tex]
This doesn't work so let's check to see if the lower right table is correct!
[tex]y = -2x + 6 \\2 = -2(2) + 6\\2 = -4 + 6\\2 = 2[/tex]
Since the equation is equal, this has to be the right answer!
Hope this helps!!
- Kay
Given ΔDEF : ΔRST, find x. 12 15 16 64
Answers
Answer:
12
Step-by-step explanation:
For ΔDEF similar to ΔRST, the value of x is 12. So, option a) is correct.
Two triangles are said to be similar if corresponding angles are equal or corresponding sides are in the same proportion.
Given triangles are similar:
ΔDEF ~ ΔRST
Therefore, using the property of similar triangle that corresponding sides of a similar triangle are in same proportion.
[tex]\dfrac{EF}{ST}=\dfrac{ED}{SR}\\\\\dfrac{x}{16}=\dfrac{3}{4}\\\\x=\dfrac{3}{4}\times 16\\\\x=12[/tex]
Thus, the value of x is 12. So, option a) is correct.
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²[tex]2x^2-1414x=24[/tex]
Answers
Which equation describes the line that has a slope of –2 and passes through the point (1,3)?
Answers
Answer:
y = -2x + 5
Step-by-step explanation:
Slope-intercept form is writen like this; y = mx + b. Where m = slope and b = y-intercept.
We know the slope, so, find the y-intercept.
y = -2x + b
3 = -2(1) + b
3 = -2 + b
5 = b
Put everything we know/solved for into the original formula.
y = -2x + 5
Best of Luck!
What is the constant of proportionality
Answers
Answer:
It is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
4 2/3 miles in 3/4 hour
4/23 divided by 3/4 ?
NEED FAST ANSWERS !
Answers
Answer:
= 12 miles per hour
Step-by-step explanation:
This is a fraction equal to
30 miles ÷ 2.5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
30 miles ÷ 2.5
2.5 hours ÷ 2.5
=
12 miles
1 hour
=
12 miles
hour
= 12 miles per hour
After the party, 4/6 of a pepperoni pizza was left, and 5/7 of a veggie pizza was left. If the leftovers are put together, is there more or less than one whole pizza?
Please answer for me!
Answers
There are 25 students in Ms. Nguyen’s second grade class. In the class election, 4 students Voted for Benjamin, 12 voted for Sahil, and 9 voted for Maria.
What percent of the class voted for Maria
Answers
Answer:
36%
Step-by-step explanation:
Plzz help!!!
What is the value of both these problems?
Answers
Problem 2
We have an isosceles triangle because of the two congruent sides (21 each).
The angles opposite the congruent sides are known as the base angles, and the base angles are congruent. For now, we don't know what they are. They are both x. I recommend writing 'x' onto the diagram where that missing unmarked angle is.
Then we'll use the idea that all three angles of any triangle always add to 180
x+x+38 = 180
2x+38 = 180
2x = 180-38
2x = 142
x = 142/2
x = 71
Answer: Choice A) 71=======================================================
Problem 3
We use the same ideas as the previous problem. This time the base angles are 56 degrees each. The remaining angle is x.
x+56+56 = 180
x+112 = 180
x = 180-112
x = 68
Answer: Choice A) 68PLEASE SOMEONE HELP ME I WILL NAME YOU THE BRAINLLEST!
A soccer team is having a car wash. The team spent $64 on supplies. They earned $236, including tips. The team's profit is the amount the team made after paying for supplies. Which expression represents this situation?
Group of answer choices
A. 64 - 236
B. 64 + 236
C. -64 + 236
D. -64 - (-236)
Answers
Answer: The team would have made 172 dollars after the suplies came out.
It would be c.
Step-by-step explanation: You would subtract 64 from 236, and get 172 dollars.
solve this one pleeaasssee
Answers
Answer:
the answer is c
Step-by-step explanation:
when looking at the graph you can see the intersection point which is (4,3) and at 4 months they were both 3 pounds. at the point of intersection they were the same age and same weight.